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Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems

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High Performance Scientific and Engineering Computing

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 8))

Abstract

We present new algorithmic methods, highly efficient sequential and scalable parallel implementations of extrapolation algorithms and demonstrate their value for challenging problems of chemical engineering.

This work was supported by Cray Research Inc.

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References

  1. Arbenz, P., Gander, W.: A Survey of Direct Parallel Algorithms for Banded Linear Systems. Technical Report TR 221, Institute for Scientific Computing, ETH Zürich (1994)

    Google Scholar 

  2. Bornemann, F.A.: Adaptive multilevel discretization in time and space for parabolic partial differential equations. Technical Report TR 89-7, Konrad-Zuse-Zentrum für Informationstechnik Berlin (1989)

    Google Scholar 

  3. Brakkee, E., Vuik, K., Wesseling, P.: Domain decomposition for the incompressible Navier-Stokes equations: solving subdomain problems accurately and inaccurately. Report 95-37, Faculty of Technical Mathematics and Informatics, Delft University of Technology, Delft (1995)

    Google Scholar 

  4. Brown, P., Hindmarsh, A., Petzold, L.: Consistent initial condition calculation for differential-algebraic systems. SIAM J. Sci. Comput., to appear

    Google Scholar 

  5. da Cunha, R.D., Hopkins, T.: A parallel implementation of the restarted GMRES iterative algorithm for nonsymmetric systems of linear equations. Adv. Comp. Math. 2 (1994) 261–277

    Article  MATH  Google Scholar 

  6. Deuflhard, P.: Recent Results in Extrapolation Methods for ODEs. SIAM Review, 27 (1985) 505–535

    Article  MathSciNet  MATH  Google Scholar 

  7. Deuflhard, P., Lang, J., Nowak, U.: Adaptive Algorithms in Dynamical Process Simulation. 8th Conference of the European Consortium for Mathematics in Industry, Kaiserslautern 1994

    Google Scholar 

  8. Dubois, P.F., Greenbaum, A., Rodrigue, G.H.: Approximating the inverse of a matrix for use in iterative algorithms on vector processors. Computing 22 (1979) 257–268

    Article  MathSciNet  MATH  Google Scholar 

  9. Ehrig, R., Nowak, U., Deuflhard, P.: Massively Parallel Linearly-Implicit Extrapolation Algorithms as a Powerful Tool in Process Simulation, Advances in Parallel Computing, to appear

    Google Scholar 

  10. Nowak, U.: A Fully Adaptive MOL-Treatment of Parabolic ID-Problems with Extrapolation Techniques. Appl. Num. Math. 20 (1996) 129–145

    Article  MATH  Google Scholar 

  11. Saad, Y.: ILUT: a dual threshold incomplete ILU factorization. Num. Lin. Alg. Appl. 1 (1994) 387–402

    Article  MathSciNet  MATH  Google Scholar 

  12. Schaber, K.: Aerosol Formation in Absorption Processes. Chem. Engng. Sci. 50 (1995) 1347–1360

    Article  Google Scholar 

  13. Schaber, K., Körber, J.: Formation of Aerosols in Absorption Processes for Exhaust Gas Purification. J. Aerosol. Sci. 22 (1991) S501–S504

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Konrad-Zuse-Zentrum für Informationstechnik Berlin, 14195, Berlin, Germany

    R. Ehrig, U. Nowak, L. Oeverdieck & P. Deuflhard

Authors
  1. R. Ehrig
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  2. U. Nowak
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  3. L. Oeverdieck
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  4. P. Deuflhard
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Editor information

Editors and Affiliations

  1. Institut für Informatik, Technische Universität München, D-80290, München, Germany

    Hans-Joachim Bungartz

  2. Lehrstuhl für Strömungsmechanik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstraße 4, D-91058, Erlangen, Germany

    Franz Durst

  3. Institut für Informatik, Technische Universität München, D-80290, München, Germany

    Christoph Zenger

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© 1999 Springer-Verlag Berlin Heidelberg

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Ehrig, R., Nowak, U., Oeverdieck, L., Deuflhard, P. (1999). Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems. In: Bungartz, HJ., Durst, F., Zenger, C. (eds) High Performance Scientific and Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60155-2_20

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  • DOI: https://doi.org/10.1007/978-3-642-60155-2_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65730-9

  • Online ISBN: 978-3-642-60155-2

  • eBook Packages: Springer Book Archive

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